GCF of 6670/166, 6717/3392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/166, 6717/3392 i.e 1/281536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/166, 6717/3392.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6670/166,6717/3392?
Given fractions are 6670/166,6717/3392
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6670/166,6717/3392, numerators are 6670,6717
Denominators are 166,3392
The GCF of 6670,6717 is 1 .
LCM of 166,3392 is 281536.
The greatest common factor of 6670/166,6717/3392 = [GCF of 6670,6717]/[LCM of 166,3392]= 1/281536
Therefore, the GCF of 6670/166,6717/3392 is 1/281536.
To find the highest common factor of 6670,6717, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 6717 are 1, 3, 2239, 6717
The HCF of 6670,6717 is 1.
Lets's calculate GCF of 6670,6717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6670,6717 By Matching Biggest Common Factor Method
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 6717
:1,3,2239,6717
Greatest Common Factor
We found the factors 6670,6717 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,6717 is 1.
Lets's calculate LCM of 166,3392
| 2 | 166, 3392 |
| 83, 1696 |
∴ So the LCM of the given numbers is 2 x 83 x 1696 = 281536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281536
Therefore, the GCF of Fractions 6670/166,6717/3392 is 1/281536
Least Common Multiple of 166,3392 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 166,3392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,3392) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,3392) x common factors =2 x 1 = 2
LCM(166,3392) = ( 166 × 3392 ) / 2
LCM(166,3392) = 563072 / 2
LCM(166,3392) = 281536
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FAQs on GCF of Fractions of 6670/166, 6717/3392
1. What is the HCF of 6670,6717?
The HCF of 6670,6717 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6670/166, 6717/3392?
Answer: GCF of Numerators as per given numbers 6670/166, 6717/3392 is
GCF of Numerators i.e. for 6670,6717 is 1
LCM of denominators i.e. for 166,3392 is 281536.
Thus, GCF of Fractions is 1/281536.Finally, GCF of Fractions for 6670/166, 6717/3392 is 1/281536.